Cremona's table of elliptic curves

8568 = 2³ · 3² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
8568a (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+  2 7+ -6  2 17+  0
Curve Equation t Generators 8568a1 [0,0,0,-54,5833] 2 [-16:51:1] 8568a2 [0,0,0,-5199,142690] 2 [35:60:1]
8568b (1 curve)	0	2+ 3- 7+ 17+	2+ 3- -1 7+  3 -1 17+  6
Curve Equation t 8568b1 [0,0,0,-3,23326] 1
8568c (4 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+  0  2 17+  0
Curve Equation t 8568c1 [0,0,0,-6359799,-6230596790] 2 8568c2 [0,0,0,-102019179,-396616526570] 4 8568c3 [0,0,0,-1632306819,-25383459170018] 2 8568c4 [0,0,0,-102281619,-394473389042] 2
8568d (1 curve)	2	2+ 3- 7+ 17+	2+ 3- -3 7+ -5 -3 17+ -5
Curve Equation t Generators 8568d1 [0,0,0,-804,8836] 1 [-22:126:1]&[-10:126:1]
8568e (1 curve)	1	2+ 3- 7- 17+	2+ 3-  1 7- -1 -3 17+ -5
Curve Equation t Generators 8568e1 [0,0,0,1068,-458012] 1 [398:-7938:1]
8568f (1 curve)	0	2+ 3- 7- 17-	2+ 3-  1 7-  1 -1 17-  5
Curve Equation t 8568f1 [0,0,0,-856092,-304879948] 1
8568g (4 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7-  4  2 17- -4
Curve Equation t 8568g1 [0,0,0,249,1370] 2 8568g2 [0,0,0,-1371,12710] 4 8568g3 [0,0,0,-8931,-315394] 2 8568g4 [0,0,0,-19731,1066574] 2
8568h (2 curves)	1	2- 3+ 7+ 17-	2- 3+ -2 7+  6  2 17-  0
Curve Equation t Generators 8568h1 [0,0,0,-486,-157491] 2 [82:595:1] 8568h2 [0,0,0,-46791,-3852630] 2 [-131:170:1]
8568i (1 curve)	1	2- 3- 7+ 17+	2- 3-  1 7+  3  1 17+ -1
Curve Equation t Generators 8568i1 [0,0,0,6108,-4288268] 1 [617:15309:1]
8568j (2 curves)	0	2- 3- 7+ 17-	2- 3- -2 7+ -6  4 17-  2
Curve Equation t 8568j1 [0,0,0,-54291,-50812130] 2 8568j2 [0,0,0,-2416251,-1436337866] 2
8568k (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  4  6 17+  0
Curve Equation t 8568k1 [0,0,0,-1074,-13547] 2 8568k2 [0,0,0,-1119,-12350] 4 8568k3 [0,0,0,-4899,119950] 2 8568k4 [0,0,0,1941,-68042] 2
8568l (2 curves)	0	2- 3- 7- 17+	2- 3-  2 7- -6 -4 17+  6
Curve Equation t 8568l1 [0,0,0,141,4030] 2 8568l2 [0,0,0,-3099,62998] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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